What is the Least Common Multiple of 30855 and 30872?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 30855 and 30872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30855 and 30872, than apply into the LCM equation.

GCF(30855,30872) = 17
LCM(30855,30872) = ( 30855 × 30872) / 17
LCM(30855,30872) = 952555560 / 17
LCM(30855,30872) = 56032680

Least Common Multiple (LCM) of 30855 and 30872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30855 and 30872. First we will calculate the prime factors of 30855 and 30872.

Prime Factorization of 30855

Prime Factorization of 30872

Now multiplying the highest exponent prime factors to calculate the LCM of 30855 and 30872.

LCM(30855,30872) = 3¹ × 5¹ × 11² × 17¹ × 2³ × 227¹
LCM(30855,30872) = 56032680